First of all, the arrangement of the sentences does not conform to Japanese language habits. The correct order should be:

"My name is Lulu, thank you, and please take care of me in the future (still)!"

It doesn’t look so blunt when you say it this way. The Japanese translation is as follows:

private, Lulu (ルル)と神します. (わたしは、ルルともうします.)

どうも、ありがとうございました.

From now on, I hope you will be happy. (こんごも、どうぞよろしくおねがいいたします.)

Roman pronunciation:

wa ta shi ha, ru ru to mou shi ma su.

dou mo a ri ga tou go za yi ma shi ta.

konn go mo dou zo yo ro shi ku o ne ga yi yi ta shi ma su.